Finite Group Databasebeta

← Group #11791006

Character table — Group #11791006

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444418181818181818181818181818181818242424242424242424242424242424242424242424242424
order1222222233444466666666666666888888883666666612121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242444444444888888884444444412121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ61111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ9111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-111iiii−i−i−i−i111-1-1-1-111111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-1i−ii−i1-11-1ii−i−iii−i−i11-1-111-1-1
χ10111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-111iiii−i−i−i−i111-1-1-1-111111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-1−ii−ii-11-11−i−iii−i−iii-1-111-1-111
χ11111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-111iiii−i−i−i−i111-1-1-1-111111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-11111i−i−ii1-1-11ii−i−i−i−iii11-1-1-1-111
χ12111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-111iiii−i−i−i−i111-1-1-1-111111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-11111−iii−i-111-1−i−iiiii−i−i-1-11111-1-1
χ13111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-111−i−i−i−iiiii111-1-1-1-111111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i-1-1-1-11111i−i−ii-111-1ii−i−i−i−iii-1-11111-1-1
χ14111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-111−i−i−i−iiiii111-1-1-1-111111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i-1-1-1-11111−iii−i1-1-11−i−iiiii−i−i11-1-1-1-111
χ15111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-111−i−i−i−iiiii111-1-1-1-111111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii1111-1-1-1-1i−ii−i-11-11ii−i−iii−i−i-1-111-1-111
χ16111-1-1-1-11111-1-111111-1-1-1-1-1-1-1-111−i−i−i−iiiii111-1-1-1-111111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii1111-1-1-1-1−ii−ii1-11-1−i−iii−i−iii11-1-111-1-1
χ172222222222-2-2-2-2222222222222220000000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-222-2-200000000000000000000000000000000
χ182222222222-2-2-2-2222222222222220000000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-222-2-22200000000000000000000000000000000
χ19222222222-1222222-1-1222-1-1-12-12-122222222-1-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000002200220000-1-1-1-10000-1-1-1-1
χ20222222222-1222222-1-1222-1-1-12-12-122222222-1-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-200-2-20000111100001111
χ21222222222-1222222-1-1222-1-1-12-12-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000000000000000002200-2-20000-1-1-1-100001111
χ22222222222-1222222-1-1222-1-1-12-12-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000-2-20022000011110000-1-1-1-1
χ2322222222-122222-1-122-1-1-1222-12-1222222222-1-1-1-1-1-1-1-1-1-122-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000022002200-1-1-1-10000-1-1-1-10000
χ2422222222-122222-1-122-1-1-1222-12-1222222222-1-1-1-1-1-1-1-1-1-122-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000-2-200-2-2001111000011110000
χ2522222222-122222-1-122-1-1-1222-12-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-122-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-21111111100000000000000002200-2-200-1-1-1-1000011110000
χ2622222222-122222-1-122-1-1-1222-12-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-122-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000000000000000-2-200220011110000-1-1-1-10000
χ27222-2-2-2-2222-222-22222-2-2-2-2-2-2-2-22200000000222-2-2-2-22-2-2-2-222-2-2-2-2222222000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ28222-2-2-2-2222-222-22222-2-2-2-2-2-2-2-22200000000222-2-2-2-22-2-2-2-222-2-2-2-222222200000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ29222-2-2-2-222-12-2-2222-1-1-2-2-2111-212-12i2i2i2i−2i−2i−2i−2i-1-1-11111-122-1-1-21-1-1-1-111-21112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii0000000000000000002i−2i002-20000−i−iii0000-1-111
χ30222-2-2-2-222-12-2-2222-1-1-2-2-2111-212-12i2i2i2i−2i−2i−2i−2i-1-1-11111-122-1-1-21-1-1-1-111-21112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii000000000000000000−2i2i00-220000ii−i−i000011-1-1
χ31222-2-2-2-222-12-2-2222-1-1-2-2-2111-212-1−2i−2i−2i−2i2i2i2i2i-1-1-11111-122-1-1-21-1-1-1-111-2111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i0000000000000000002i−2i00-220000−i−iii000011-1-1
χ32222-2-2-2-222-12-2-2222-1-1-2-2-2111-212-1−2i−2i−2i−2i2i2i2i2i-1-1-11111-122-1-1-21-1-1-1-111-2111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i000000000000000000−2i2i002-20000ii−i−i0000-1-111
χ33222-2-2-2-22-122-2-22-1-122111-2-2-21-2-122i2i2i2i−2i−2i−2i−2i-1-1-11111-1-1-1221-2-1-1-1-1111-211−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii00000000000000002i−2i002-200−i−iii0000-1-1110000
χ34222-2-2-2-22-122-2-22-1-122111-2-2-21-2-122i2i2i2i−2i−2i−2i−2i-1-1-11111-1-1-1221-2-1-1-1-1111-211−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−iiiii−2i−2i−2i−2iiiiiiiii0000000000000000−2i2i00-2200ii−i−i000011-1-10000
χ35222-2-2-2-22-122-2-22-1-122111-2-2-21-2-12−2i−2i−2i−2i2i2i2i2i-1-1-11111-1-1-1221-2-1-1-1-1111-211iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i00000000000000002i−2i00-2200−i−iii000011-1-10000
χ36222-2-2-2-22-122-2-22-1-122111-2-2-21-2-12−2i−2i−2i−2i2i2i2i2i-1-1-11111-1-1-1221-2-1-1-1-1111-211iiii−2i−2i−2i−2iiiiiiiii−i−i−i−i2i2i2i2i−i−i−i−i−i−i−i−i0000000000000000−2i2i002-200ii−i−i0000-1-1110000
χ3722-222-2-2-22200002-22-222-222-2-2-2-2-222−2−222−2−222-222-2-2-2000000000000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−2002-2002-222−2−222−2−2000000000000000000000000
χ3822-222-2-2-22200002-22-222-222-2-2-2-2-222−2−222−2−222-222-2-2-2000000000000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−200-2200-22−2−222−2−222000000000000000000000000
χ3922-222-2-2-22200002-22-222-222-2-2-2-2-2−2−222−2−22222-222-2-2-20000000000000000−2−222−2−222−2−2−2−22222−2−222−2−222−2−2−2−22222002-2002-2−2−222−2−222000000000000000000000000
χ4022-222-2-2-22200002-22-222-222-2-2-2-2-2−2−222−2−22222-222-2-2-20000000000000000−2−222−2−222−2−2−2−22222−2−222−2−222−2−2−2−2222200-2200-2222−2−222−2−2000000000000000000000000
χ4122-2-2-222-22200002-22-2-2-22-2-2222-2-2−i2−i2i2i2i2i2−i2−i222-2-2-222-20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2002i−2i00−2i2i−2−22222−2−2000000000000000000000000
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χ4322-2-2-222-22200002-22-2-2-22-2-2222-2-2i2i2−i2−i2−i2−i2i2i222-2-2-222-20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2002i−2i00−2i2i22−2−2−2−222000000000000000000000000
χ4422-2-2-222-22200002-22-2-2-22-2-2222-2-2i2i2−i2−i2−i2−i2i2i222-2-2-222-20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i200−2i2i002i−2i−2−22222−2−2000000000000000000000000
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χ462-222-22-2-2220000-22-222-222-22-2-2-2-22−22−22−22−22-222-22-2-200000000000000002−22−22−22−222−2−222−2−22−22−22−22−222−2−222−2−2-2200-2200−22−22−22−22000000000000000000000000
χ472-222-22-2-2220000-22-222-222-22-2-2-2-2−22−22−22−222-222-22-2-20000000000000000−22−22−22−22−2−222−2−222−22−22−22−22−2−222−2−2222-2002-200−22−22−22−22000000000000000000000000
χ482-222-22-2-2220000-22-222-222-22-2-2-2-2−22−22−22−222-222-22-2-20000000000000000−22−22−22−22−2−222−2−222−22−22−22−22−2−222−2−222-2200-22002−22−22−22−2000000000000000000000000
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χ532-2-22-2-222222-22-2-2-2-2-22-2-22-2-222222-2-222-2-222-2-22-2-2222-22-2-2-222-2-2-2-222222-2-222-2-2222-2-2-2-2222-2-222-2-2222-2-2-2-2220000000000000000000000000000000000000000
χ542-2-22-2-222222-22-2-2-2-2-22-2-22-2-22222-222-2-222-22-2-22-2-2222-22-2-2-222-2-2-2-22222-222-2-222-2-2-22222-2-2-222-2-222-2-2-22222-2-20000000000000000000000000000000000000000
χ552-2-22-2-22222-22-22-2-2-2-22-2-22-2-22222000000002-2-22-2-222-22-2222-2-22222-2-2-2-200000000000000000000000000000000000000002-2-222-2-22000000000000000000000000
χ562-2-22-2-22222-22-22-2-2-2-22-2-22-2-22222000000002-2-22-2-222-22-2222-2-22222-2-2-2-20000000000000000000000000000000000000000-222-2-222-2000000000000000000000000
χ572-2-22-2-2222-12-22-2-2-2112-2-2-1112-12-12-2-222-2-22-111-111-1-12-2-11-21-1-111112-1-1-12-2-22-111-1-1-11111-1-12-2-22-111-1-1-11111-1-10000000000000000000000000000−i3i3−i3i30000−i3i3−i3i3
χ582-2-22-2-2222-12-22-2-2-2112-2-2-1112-12-12-2-222-2-22-111-111-1-12-2-11-21-1-111112-1-1-12-2-22-111-1-1-11111-1-12-2-22-111-1-1-11111-1-10000000000000000000000000000i3−i3i3−i30000i3−i3i3−i3
χ592-2-22-2-2222-12-22-2-2-2112-2-2-1112-12-1-222-2-222-2-111-111-1-12-2-11-21-1-111112-1-1-1-222-21-1-1111-1-1-1-111-222-21-1-1111-1-1-1-1110000000000000000000000000000−i3i3−i3i30000i3−i3i3−i3
χ602-2-22-2-2222-12-22-2-2-2112-2-2-1112-12-1-222-2-222-2-111-111-1-12-2-11-21-1-111112-1-1-1-222-21-1-1111-1-1-1-111-222-21-1-1111-1-1-1-1110000000000000000000000000000i3−i3i3−i30000−i3i3−i3i3
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χ1324-4-4-444-44-2-2-4-44422222-2-22-2-222-2-2000000001-1-1-111-112-22-222-1-111-1-1-2-21100000000-333-33-3-33000000003-3-33-333-30000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.